Highest Common Factor of 5663, 1200 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 5663, 1200 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5663, 1200 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 5663, 1200 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 5663, 1200 is 1.
HCF(5663, 1200) = 1
HCF of 5663, 1200 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5663, 1200 is 1.
Highest Common Factor of 5663,1200 is 1
Step 1: Since 5663 > 1200, we apply the division lemma to 5663 and 1200, to get
5663 = 1200 x 4 + 863
Step 2: Since the reminder 1200 ≠ 0, we apply division lemma to 863 and 1200, to get
1200 = 863 x 1 + 337
Step 3: We consider the new divisor 863 and the new remainder 337, and apply the division lemma to get
863 = 337 x 2 + 189
We consider the new divisor 337 and the new remainder 189,and apply the division lemma to get
337 = 189 x 1 + 148
We consider the new divisor 189 and the new remainder 148,and apply the division lemma to get
189 = 148 x 1 + 41
We consider the new divisor 148 and the new remainder 41,and apply the division lemma to get
148 = 41 x 3 + 25
We consider the new divisor 41 and the new remainder 25,and apply the division lemma to get
41 = 25 x 1 + 16
We consider the new divisor 25 and the new remainder 16,and apply the division lemma to get
25 = 16 x 1 + 9
We consider the new divisor 16 and the new remainder 9,and apply the division lemma to get
16 = 9 x 1 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5663 and 1200 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(16,9) = HCF(25,16) = HCF(41,25) = HCF(148,41) = HCF(189,148) = HCF(337,189) = HCF(863,337) = HCF(1200,863) = HCF(5663,1200) .
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Frequently Asked Questions on HCF of 5663, 1200 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 5663, 1200?
Answer: HCF of 5663, 1200 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5663, 1200 using Euclid's Algorithm?
Answer: For arbitrary numbers 5663, 1200 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.